plot Math help » Geometry » airplane Geometry » square » Trapezoids » just how to uncover an edge in a trapezoid

Find the measure up of angle in the isosceles trapezoid pictured below.

You are watching: How many degrees is a trapezoid    Explanation:

The sum of the angle in any type of quadrilateral is 360°, and the properties of an isosceles trapezoid dictate that the to adjust of angles adjoined by parallel currently (in this case, the bottom collection and top collection of angles) room equal. Subtracting 2(72°) native 360° provides the sum of the two peak angles, and also dividing the result 216° by 2 yields the measure of x, i m sorry is 108°.

Explanation:

As a rule, adjacent (non-paired) angles in a trapezoid are supplementary. Thus, we know that if , then . Since we room told that and are paired and trapezoid is isosceles, must also equal .

Explanation:

To discover the measure of edge DAC, we must know that the interior angles of all triangles amount up come 180 degrees. Also, as this is one isosceles trapezoid, and are equal to every other. The 2 diagonals within the trapezoid bisect angle and at the exact same angle.

Thus, must likewise be same to 50 degrees.

Thus, .

Now the we recognize two angle out that the 3 in the triangle top top the left, we have the right to subtract them from 180 levels to uncover : Explanation:

All quadrilaterals" internal angles sum to 360°. In isosceles trapezoids, the two peak angles space equal to each other.

Similarly, the 2 bottom angles space equal come each other as well.

Therefore, to discover the amount of the 2 bottom angles, we subtract the steps of the optimal two angle from 360: Michigan State University, Bachelor of Science, Mathematics. University of Miami, master of Science, Mathematics.
Oregon State University, Bachelor that Science, health Promotion and Education. College of Colorado Denver, Masters, society ...
Idaho State University, Bachelor in Arts, Chemistry. Utah State University, master of Science, physics Chemistry.
Atlanta ACT mathematics Tutoring, Austin ACT mathematics Tutoring, Boston ACT math Tutoring, Chicago ACT mathematics Tutoring, Dallas ft Worth ACT mathematics Tutoring, Denver ACT mathematics Tutoring, Houston ACT math Tutoring, Kansas City ACT math Tutoring, Los Angeles ACT math Tutoring, Miami ACT mathematics Tutoring, new York City ACT mathematics Tutoring, Philadelphia ACT math Tutoring, Phoenix ACT mathematics Tutoring, san Diego ACT mathematics Tutoring, san Francisco-Bay Area ACT math Tutoring, Seattle ACT math Tutoring, St. Luigi ACT math Tutoring, Tucson ACT mathematics Tutoring, Washington DC ACT mathematics Tutoring
ACT mathematics Tutors in top Cities:
Atlanta ACT math Tutors, Austin ACT math Tutors, Boston ACT mathematics Tutors, Chicago ACT mathematics Tutors, Dallas fort Worth ACT mathematics Tutors, Denver ACT math Tutors, Houston ACT mathematics Tutors, Kansas City ACT mathematics Tutors, Los Angeles ACT mathematics Tutors, Miami ACT math Tutors, new York City ACT math Tutors, Philadelphia ACT mathematics Tutors, Phoenix ACT math Tutors, mountain Diego ACT math Tutors, mountain Francisco-Bay Area ACT mathematics Tutors, Seattle ACT math Tutors, St. Louis ACT math Tutors, Tucson ACT mathematics Tutors, Washington DC ACT math Tutors
Popular process & Classes
Spanish process & class in new York City, ACT process & great in Philadelphia, SSAT courses & class in Philadelphia, MCAT process & great in san Francisco-Bay Area, SSAT courses & classes in Houston, ACT process & great in Atlanta, Spanish courses & great in san Diego, LSAT courses & classes in Boston, SSAT process & class in Phoenix, ACT courses & great in Miami
Popular test Prep
SSAT check Prep in Chicago, MCAT check Prep in Washington DC, sat Test prep in Boston, GRE check Prep in mountain Francisco-Bay Area, ACT check Prep in Philadelphia, GMAT test Prep in Houston, LSAT test Prep in brand-new York City, GMAT test Prep in Atlanta, LSAT check Prep in Boston, GMAT check Prep in Dallas ft Worth
Report an worry with this inquiry

If you"ve discovered an worry with this question, please let united state know. Through the assist of the ar we can continue to enhance our education resources.

Do not fill in this field